GCD of 319, 580, 360, 513 Calculator

Given Input numbers are 319, 580, 360, 513

In the factoring method, we have to find the divisors of all numbers

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (319, 580, 360, 513) = 1.

Given numbers are 319, 580, 360, 513

The list of prime factors of all numbers are

Prime factors of 319 are 11 x 29

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 513 are 3 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 319, 580, 360, 513

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(319, 580) = 6380

GCD(319, 580) = ( 319 x 580 ) / 6380

= 319 / 580

= 319

Step2:

LCM(29, 360) = 10440

GCD(29, 360) = ( 29 x 360 ) / 10440

= 29 / 360

= 29

Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

So, Greatest Common Divisor of 319, 580, 360, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 583, 708, 660
• GCD of 300, 673, 557, 928
• GCD of 204, 700, 724, 944
• GCD of 751, 810, 873, 832
• GCD of 198, 377, 916, 106

Given numbers are 319, 580, 360, 513
The greatest common divisor of numbers 319, 580, 360, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 319, 580, 360, 513 is 1.

1. What is the GCD of 319, 580, 360, 513?

GCD of given numbers 319, 580, 360, 513 is 1

2. How to calculate the greatest common divisor of 319, 580, 360, 513?

We can find the highest common divisor of 319, 580, 360, 513 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 319, 580, 360, 513 i.e 1.

3. How can I use the GCD of 319, 580, 360, 513Calculator?

Out the numbers 319, 580, 360, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.